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Vector Mechanics for Engineers : Statics book cover, ISBN 9780070053670

Vector Mechanics for Engineers : Statics

by BEER

ISBN13: 9780070053670
ISBN10: 0070053677
Additional ISBN(s): 9780072446128
Edition: 6TH
Copyright: 1996-01-01
Publisher: MCG
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1. Vector Mechanics for Engineers : Statics > ISBN13: 9780070053670

List Price: $80.67

Table of Contents

Preface

xiii

List of Symbols

xvii

Introduction

1

(14)

What Is Mechanics?

2

(1)

Fundamental Concepts and Principles

2

(3)

Systems of Units

5

(5)

Conversion from One System of Units to Another

10

(2)

Method of Problem Solution

12

(1)

Numerical Accuracy

13

(2)

Statics of Particles

15

(56)

Introduction

16

(1)

Forces in a Plane

16

(1)

Force on a Particle. Resultant of Two Forces

16

(1)

Vectors

17

(1)

Addition of Vectors

18

(2)

Resultant of Several Concurrent Forces

20

(1)

Resolution of a Force into Components

21

(6)

Rectangular Components of a Force. Unit Vectors

27

(3)

Addition of Forces by Summing x and y Components

30

(5)

Equilibrium of a Particle

35

(1)

Newton's First Law of Motion

36

(1)

Problems Involving the Equilibrium of a Particle. Free-Body Diagrams

36

(9)

Forces in Space

45

(1)

Rectangular Components of a Force in Space

45

(3)

Force Defined by Its Magnitude and Two Points on Its Line of Action

48

(1)

Addition of Concurrent Forces in Space

49

(8)

Equilibrium of a Particle in Space

57

(14)

Review and Summary for Chapter 2

64

(3)

Review Problems

67

(4)

Rigid Bodies: Equivalent Systems of Forces

71

(82)

Introduction

72

(1)

External and Internal Forces

72

(1)

Principle of Transmissibility. Equivalent Forces

73

(2)

Vector Product of Two Vectors

75

(2)

Vector Products Expressed in Terms of Rectangular Components

77

(2)

Moment of a Force about a Point

79

(2)

Varignon's Theorem

81

(1)

Rectangular Components of the Moment of a Force

81

(10)

Scalar Product of Two Vectors

91

(2)

Mixed Triple Product of Three Vectors

93

(2)

Moment of a Force about a Given Axis

95

(10)

Moment of a Couple

105

(1)

Equivalent Couples

106

(2)

Addition of Couples

108

(1)

Couples Can Be Represented by Vectors

108

(1)

Resolution of a Given Force Into a Force at O and a Couple

109

(11)

Reduction of a System of Forces to One Force and One Couple

120

(2)

Equivalent Systems of Forces

122

(1)

Equipollent Systems of Vectors

122

(1)

Further Reduction of a System of Forces

123

(2)

Reduction of a System of Forces to a Wrench

125

(28)

Review and Summary for Chapter 3

144

(5)

Review Problems

149

(4)

Equilibrium of Rigid Bodies

153

(56)

Introduction

154

(1)

Free-Body Diagram

155

(1)

Equilibrium in Two Dimensions

156

(1)

Reactions at Supports and Connections for a Two-Dimensions Structure

156

(2)

Equilibrium of a Rigid Body in Two Dimensions

158

(2)

Statically Indeterminate Reactions. Partial Constraints

160

(17)

Equilibrium of a Two-Force Body

177

(1)

Equilibrium of a Three-Force Body

178

(7)

Equilibrium in Three Dimensions

185

(1)

Equilibrium of a Rigid Body in Three Dimensions

185

(1)

Reactions at Supports and Connections for a Three-Dimensional Structure

185

(24)

Review and Summary for Chapter 4

202

(2)

Review Problems

204

(5)

Distributed Forces: Centroids and Centers of Gravity

209

(65)

Introduction

210

(1)

Areas and Lines

210

(1)

Center of Gravity of a Two-Dimensional Body

210

(2)

Centroids of Areas and Lines

212

(1)

First Moments of Areas and Lines

213

(3)

Composite Plates and Wires

216

(11)

Determination of Centroids by Integration

227

(2)

Theorems of Pappus-Guldinus

229

(11)

Distributed Loads on Beams

240

(1)

Forces on Submerged Surfaces

241

(10)

Volumes

251

(1)

Center of Gravity of a Three-Dimensional Body. Centroid of a Volume

251

(3)

Composite Bodies

254

(1)

Determination of Centroids of Volumes by Integration

254

(20)

Review and Summary for Chapter 5

266

(4)

Review Problems

270

(4)

Analysis of Structures

274

(67)

Introduction

275

(1)

Trusses

276

(1)

Definition of a Truss

276

(2)

Simple Trusses

278

(1)

Analysis of Trusses by the Method of Joints

279

(2)

Joints under Special Loading Conditions

281

(2)

Space Trusses

283

(10)

Analysis of Trusses by the Method of Sections

293

(1)

Trusses Made of Several Simple Trusses

294

(11)

Frames and Machines

305

(1)

Structures Containing Multiforce Members

305

(1)

Analysis of a Frame

305

(1)

Frames Which Cease to Be Rigid When Detached from Their Supports

306

(15)

Machines

321

(20)

Review and Summary for Chapter 6

333

(3)

Review Problems

336

(5)

Forces in Beams and Cables

341

(55)

Introduction

342

(1)

Internal Forces in Members

342

(7)

Beams

349

(1)

Various Types of Loading and Support

349

(1)

Shear and Bending Moment in a Beam

350

(2)

Shear and Bending-Moment Diagrams

352

(8)

Relations among Load, Shear, and Bending Moment

360

(11)

Cables

371

(1)

Cables with Concentrated Loads

371

(1)

Cables with Distributed Loads

372

(1)

Parabolic Cable

373

(9)

Catenary

382

(14)

Review and Summary for Chapter 7

390

(3)

Review Problems

393

(3)

Friction

396

(59)

Introduction

397

(1)

The Laws of Dry Friction. Coefficients of Friction

397

(3)

Angles of Friction

400

(1)

Problems Involving Dry Friction

401

(16)

Wedges

417

(1)

Square-Threaded Screws

417

(9)

Journal Bearings. Axle Friction

426

(2)

Thrust Bearings. Disk Friction

428

(1)

Wheel Friction. Rolling Resistance

429

(7)

Belt Friction

436

(19)

Review and Summary for Chapter 8

447

(3)

Review Problems

450

(5)

Distributed Forces: Moments of Inertia

455

(84)

Introduction

456

(1)

Moments of Inertia of Areas

457

(1)

Second Moment, or Moment of Inertia, of an Area

457

(1)

Determination of the Moment of Inertia of an Area by Integration

458

(1)

Polar Moment of Inertia

459

(1)

Radius of Gyration of an Area

460

(7)

Parallel-Axis Theorem

467

(1)

Moments of Inertia of Composite Areas

468

(13)

Product of Inertia

481

(1)

Principal Axes and Principal Moments of Inertia

482

(8)

Mohr's Circle for Moments and Products of Inertia

490

(6)

Moments of Inertia of Masses

496

(1)

Moment of Inertia of a Mass

496

(2)

Parallel-Axis Theorem

498

(1)

Moments of Inertia of Thin Plates

499

(1)

Determination of the Moment of Inertia of a Three-Dimensional Body by Integration

500

(1)

Moments of Inertia of Composite Bodies

500

(15)

Moment of Inertia of a Body with Respect to an Arbitrary Axis through O. Mass Products of Inertia

515

(1)

Ellipsoid of Inertia. Principal Axes of Inertia

516

(2)

Determination of the Principal Axes and Principal Moments of Inertia of a Body of Arbitrary Shape

518

(21)

Review and Summary for Chapter 9

529

(6)

Review Problems

535

(4)

Method of Virtual Work

539

(42)

Introduction

540

(1)

Work of a Force

540

(3)

Principle of Virtual Work

543

(1)

Applications of the Principle of Virtual Work

544

(2)

Real Machines. Mechanical Efficiency

546

(14)

Work of a Force during a Finite Displacement

560

(2)

Potential Energy

562

(1)

Potential Energy and Equilibrium

563

(1)

Stability of Equilibrium

564

(17)

Review and Summary for Chapter 10

574

(3)

Review Problems

577

(4)

Index

581

(6)

Answers to Problems

587

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